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Finding the Third Proportional to 9,469.41 and 14,196.94

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Solution

The third proportional to 9,469.41 and 14,196.94 is: 21,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.41 : 14,196.94 = 14,196.94 : x
  2. Step 2: Convert to fraction form
    9,469.41/14,196.94 = 14,196.94/x
  3. Step 3: Cross multiply
    9,469.41x = 14,196.94 × 14,196.94
  4. Step 4: Simplify right side
    9,469.41x = 201,553,034.38
  5. Step 5: Solve for x
    x = 201,553,034.38/9,469.41
  6. Step 6: Final answer
    x = 21,284.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.